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Finding the Fourth Proportional to 442,765.12, 664,470.26 and 176,601.74

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Solution

The fourth proportional to 442,765.12, 664,470.26 and 176,601.74 is: 265,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,765.12 : 664,470.26 = 176,601.74 : x
  2. Step 2: Convert to fraction form
    442,765.12/664,470.26 = 176,601.74/x
  3. Step 3: Cross multiply
    442,765.12x = 664,470.26 × 176,601.74
  4. Step 4: Simplify right side
    442,765.12x = 117,346,604,094.25
  5. Step 5: Solve for x
    x = 117,346,604,094.25/442,765.12
  6. Step 6: Final answer
    x = 265,031.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.